Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
Exactly Solvable and Integrable Systems
2017-06-29 v3 Mathematical Physics
math.MP
Abstract
A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearising transform which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.
Keywords
Cite
@article{arxiv.1612.04711,
title = {Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations},
author = {Wei Fu and Frank Nijhoff},
journal= {arXiv preprint arXiv:1612.04711},
year = {2017}
}
Comments
21 pages, 3 figures